ISSN 1003-8035 CN 11-2852/P

    耦合频率比法与机器学习的斜坡单元滑坡易发性评价模型研究

    Research on landslide susceptibility assessment model for slope units coupling frequency ratio method and machine learning

    • 摘要: 本研究旨在针对陕北黄土高原滑坡易发区,通过将负样本抽样方法延伸至斜坡单元体系,探讨频率比法与不同机器学习方法耦合对滑坡易发性评价性能的影响,以提升黄土高原地区滑坡易发性评价的精度和可靠性。基于多源地理数据,研究采用逻辑回归、朴素贝叶斯、支持向量机和梯度提升决策树四种机器学习模型,结合斜坡单元体系与频率比法构建滑坡易发性评价模型。通过统计优化与空间异质性协同机制,利用频率比法实现特征空间与地理空间的映射关系,优化参数并施加空间约束,从而克服传统抽样方法的信息损失问题。实验表明,频率比法显著提升了机器学习模型的性能:支持向量机的准确率从随机抽样法的42.1%提升至84.2%,马修斯相关系数(MCC)从-0.039提升至0.716,受试者工作特征曲线下面积(AUC)值从0.65增至0.96。频率比法对不同机器学习模型的表征能力和鲁棒性均有增强作用,其中对支持向量机的提升最为显著。频率比法通过协同参数优化与空间约束机制,有效解决了传统抽样方法的信息损失问题,揭示了其在增强机器学习模型表征能力和鲁棒性方面的关键作用。本研究为黄土高原斜坡单元滑坡易发性评价提供了理论依据和技术支持,对提升区域滑坡灾害风险评估的精度和可靠性具有重要意义。

       

      Abstract: This study targets landslide-prone areas on the loess plateau in Northern Shaanxi, China. It aims to improve the accuracy and reliability of landslide susceptibility assessments by extending negative sample sampling methods to slope unit systems and exploring the coupling effects of the frequency ratio (FR) method with various machine learning algorithms. Using multi-source geographic data, four machine learning models - logistic regression, naive Bayes, support vector machine (SVM), and gradient boosting decision tree (GBDT) - were combined with slope unit frameworks and the FR method to develop landslide susceptibility assessment models. Through a spatial heterogeneity synergy mechanism that integrates statistical optimization with spatial constraints, the FR method establishes mapping relationships between feature space and geographic space, effectively addressing the information loss problem associated with traditional sampling methods. Experimental results indicate significant performance improvements: the SVM model’s accuracy improved from 42.1% (random sampling) to 84.2% (FR method), Matthews correlation coefficient (MCC) improved from -0.039 to 0.716, and the area under the receiver operating characteristic curve (AUC) rose from 0.65 to 0.96. The FR method improved both the representational capacity and robustness across all machine learning models, with the most substantial improvement observed in SVM. By coordinating parameter optimization and applying spatial constraints, the FR method effectively mitigates the limitations of conventional sampling approaches, underscoring its critical role in enhancing machine learning model performance. This research provides theoretical and technical support for slope unit-based landslide susceptibility assessments on the loess plateau, contributing significantly to the precision and reliability of regional landslide risk evaluation.

       

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